$G$-dual Frames in Hilbert $C^{*}$-module Spaces
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Abstract:
In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames are given. A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is not satisfied in general Hilbert $C^*$-modules.
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Journal title
volume 11 issue 1
pages 65- 79
publication date 2018-08-01
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